| /external/eigen/Eigen/ |
| Eigenvalues | 14 /** \defgroup Eigenvalues_Module Eigenvalues module
20 * - MatrixBase::eigenvalues(),
24 * #include <Eigen/Eigenvalues>
28 #include "src/Eigenvalues/Tridiagonalization.h"
29 #include "src/Eigenvalues/RealSchur.h"
30 #include "src/Eigenvalues/EigenSolver.h"
31 #include "src/Eigenvalues/SelfAdjointEigenSolver.h"
32 #include "src/Eigenvalues/GeneralizedSelfAdjointEigenSolver.h"
33 #include "src/Eigenvalues/HessenbergDecomposition.h"
34 #include "src/Eigenvalues/ComplexSchur.h
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| Dense | 7 #include "Eigenvalues"
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| LeastSquares | 15 #include "Eigenvalues"
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| /external/eigen/doc/snippets/ |
| EigenSolver_compute.cpp | 4 cout << "The eigenvalues of A are: " << es.eigenvalues().transpose() << endl;
5 es.compute(A + MatrixXf::Identity(4,4), false); // re-use es to compute eigenvalues of A+I
6 cout << "The eigenvalues of A+I are: " << es.eigenvalues().transpose() << endl;
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| SelfAdjointEigenSolver_SelfAdjointEigenSolver.cpp | 5 cout << "The eigenvalues of A are: " << es.eigenvalues().transpose() << endl;
6 es.compute(A + Matrix4f::Identity(4,4)); // re-use es to compute eigenvalues of A+I
7 cout << "The eigenvalues of A+I are: " << es.eigenvalues().transpose() << endl;
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| SelfAdjointEigenSolver_compute_MatrixType.cpp | 5 cout << "The eigenvalues of A are: " << es.eigenvalues().transpose() << endl;
6 es.compute(A + MatrixXf::Identity(4,4)); // re-use es to compute eigenvalues of A+I
7 cout << "The eigenvalues of A+I are: " << es.eigenvalues().transpose() << endl;
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| ComplexEigenSolver_eigenvalues.cpp | 3 cout << "The eigenvalues of the 3x3 matrix of ones are:"
4 << endl << ces.eigenvalues() << endl;
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| EigenSolver_eigenvalues.cpp | 3 cout << "The eigenvalues of the 3x3 matrix of ones are:"
4 << endl << es.eigenvalues() << endl;
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| MatrixBase_eigenvalues.cpp | 2 VectorXcd eivals = ones.eigenvalues();
3 cout << "The eigenvalues of the 3x3 matrix of ones are:" << endl << eivals << endl;
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| SelfAdjointEigenSolver_eigenvalues.cpp | 3 cout << "The eigenvalues of the 3x3 matrix of ones are:"
4 << endl << es.eigenvalues() << endl;
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| SelfAdjointView_eigenvalues.cpp | 2 VectorXd eivals = ones.selfadjointView<Lower>().eigenvalues();
3 cout << "The eigenvalues of the 3x3 matrix of ones are:" << endl << eivals << endl;
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| GeneralizedEigenSolver.cpp | 5 cout << "The (complex) numerators of the generalzied eigenvalues are: " << ges.alphas().transpose() << endl;
6 cout << "The (real) denominatore of the generalzied eigenvalues are: " << ges.betas().transpose() << endl;
7 cout << "The (complex) generalzied eigenvalues are (alphas./beta): " << ges.eigenvalues().transpose() << endl;
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| SelfAdjointEigenSolver_compute_MatrixType2.cpp | 7 cout << "The eigenvalues of the pencil (A,B) are:" << endl << es.eigenvalues() << endl;
9 cout << "The eigenvalues of the pencil (B,A) are:" << endl << es.eigenvalues() << endl;
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| ComplexEigenSolver_compute.cpp | 6 cout << "The eigenvalues of A are:" << endl << ces.eigenvalues() << endl;
9 complex<float> lambda = ces.eigenvalues()[0];
16 << ces.eigenvectors() * ces.eigenvalues().asDiagonal() * ces.eigenvectors().inverse() << endl;
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| EigenSolver_EigenSolver_MatrixType.cpp | 5 cout << "The eigenvalues of A are:" << endl << es.eigenvalues() << endl;
8 complex<double> lambda = es.eigenvalues()[0];
14 MatrixXcd D = es.eigenvalues().asDiagonal();
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| SelfAdjointEigenSolver_SelfAdjointEigenSolver_MatrixType.cpp | 6 cout << "The eigenvalues of A are:" << endl << es.eigenvalues() << endl;
9 double lambda = es.eigenvalues()[0];
15 MatrixXd D = es.eigenvalues().asDiagonal();
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| SelfAdjointEigenSolver_SelfAdjointEigenSolver_MatrixType2.cpp | 9 cout << "The eigenvalues of the pencil (A,B) are:" << endl << es.eigenvalues() << endl;
12 double lambda = es.eigenvalues()[0];
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| /external/eigen/Eigen/src/Eigenvalues/ |
| CMakeLists.txt | 5 DESTINATION ${INCLUDE_INSTALL_DIR}/Eigen/src/Eigenvalues COMPONENT Devel
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| MatrixBaseEigenvalues.h | 27 return ComplexEigenSolver<PlainObject>(m_eval, false).eigenvalues();
39 return EigenSolver<PlainObject>(m_eval, false).eigenvalues();
45 /** \brief Computes the eigenvalues of a matrix
46 * \returns Column vector containing the eigenvalues.
49 * This function computes the eigenvalues with the help of the EigenSolver
53 * The eigenvalues are repeated according to their algebraic multiplicity,
54 * so there are as many eigenvalues as rows in the matrix.
62 * \sa EigenSolver::eigenvalues(), ComplexEigenSolver::eigenvalues(),
63 * SelfAdjointView::eigenvalues()
67 MatrixBase<Derived>::eigenvalues() const function in class:Eigen::MatrixBase
89 SelfAdjointView<MatrixType, UpLo>::eigenvalues() const function in class:Eigen::SelfAdjointView
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| GeneralizedEigenSolver.h | 23 * \brief Computes the generalized eigenvalues and eigenvectors of a pair of general matrices
29 * The generalized eigenvalues and eigenvectors of a matrix pair \f$ A \f$ and \f$ B \f$ are scalars
31 * \f$ D \f$ is a diagonal matrix with the eigenvalues on the diagonal, and
36 * The generalized eigenvalues and eigenvectors of a matrix pair may be complex, even when the
38 * singular. To workaround this difficulty, the eigenvalues are provided as a pair of complex \f$ \alpha \f$
44 * Call the function compute() to compute the generalized eigenvalues and eigenvectors of
47 * eigenvalues and eigenvectors at construction time. Once the eigenvalue and
48 * eigenvectors are computed, they can be retrieved with the eigenvalues() and
55 * \sa MatrixBase::eigenvalues(), class ComplexEigenSolver, class SelfAdjointEigenSolver
85 /** \brief Type for vector of real scalar values eigenvalues as returned by betas()
198 EigenvalueType eigenvalues() const function in class:Eigen::GeneralizedEigenSolver
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| ComplexEigenSolver.h | 24 * \brief Computes eigenvalues and eigenvectors of general complex matrices
30 * The eigenvalues and eigenvectors of a matrix \f$ A \f$ are scalars
32 * \f$. If \f$ D \f$ is a diagonal matrix with the eigenvalues on
39 * eigenvalues and eigenvectors of a given function. The
73 /** \brief Type for vector of eigenvalues as returned by eigenvalues().
120 * eigenvalues are computed; if false, only the eigenvalues are
148 * \f$ as returned by eigenvalues(). The eigenvectors are normalized to
159 eigen_assert(m_eigenvectorsOk && "The eigenvectors have not been computed together with the eigenvalues.")
181 const EigenvalueType& eigenvalues() const function in class:Eigen::ComplexEigenSolver
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| /external/eigen/doc/examples/ |
| TutorialLinAlgSelfAdjointEigenSolver.cpp | 14 cout << "The eigenvalues of A are:\n" << eigensolver.eigenvalues() << endl;
16 << "corresponding to these eigenvalues:\n"
|
| /external/eigen/test/ |
| eigensolver_complex.cpp | 13 #include <Eigen/Eigenvalues>
50 VERIFY_IS_APPROX(symmA * ei0.eigenvectors(), ei0.eigenvectors() * ei0.eigenvalues().asDiagonal());
54 VERIFY_IS_APPROX(a * ei1.eigenvectors(), ei1.eigenvectors() * ei1.eigenvalues().asDiagonal());
55 // Note: If MatrixType is real then a.eigenvalues() uses EigenSolver and thus
57 verify_is_approx_upto_permutation(a.eigenvalues(), ei1.eigenvalues());
63 VERIFY_IS_EQUAL(ei2.eigenvalues(), ei1.eigenvalues());
72 VERIFY_IS_APPROX(ei1.eigenvalues(), eiNoEivecs.eigenvalues());
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| eigensolver_generic.cpp | 13 #include <Eigen/Eigenvalues>
37 (ei0.pseudoEigenvectors().template cast<Complex>()) * (ei0.eigenvalues().asDiagonal()));
43 ei1.eigenvectors() * ei1.eigenvalues().asDiagonal());
45 VERIFY_IS_APPROX(a.eigenvalues(), ei1.eigenvalues());
51 VERIFY_IS_EQUAL(ei2.eigenvalues(), ei1.eigenvalues());
60 VERIFY_IS_APPROX(ei1.eigenvalues(), eiNoEivecs.eigenvalues());
81 VERIFY_RAISES_ASSERT(eig.eigenvalues());
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| eigensolver_selfadjoint.cpp | 13 #include <Eigen/Eigenvalues>
61 eiSymm.eigenvectors() * eiSymm.eigenvalues().asDiagonal(), largerEps));
62 VERIFY_IS_APPROX(symmA.template selfadjointView<Lower>().eigenvalues(), eiSymm.eigenvalues());
66 eiDirect.eigenvectors() * eiDirect.eigenvalues().asDiagonal(), largerEps));
67 VERIFY_IS_APPROX(symmA.template selfadjointView<Lower>().eigenvalues(), eiDirect.eigenvalues());
71 VERIFY_IS_APPROX(eiSymm.eigenvalues(), eiSymmNoEivecs.eigenvalues());
77 symmB.template selfadjointView<Lower>() * (eiSymmGen.eigenvectors() * eiSymmGen.eigenvalues().asDiagonal()), largerEps))
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